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12730300 = 22521171163
BaseRepresentation
bin110000100011…
…111110111100
3212221202200121
4300203332330
511224332200
61132504324
7213130402
oct60437674
925852617
1012730300
117205510
12431b0a4
13283952b
141995472
1511b6e1a
hexc23fbc

12730300 has 72 divisors (see below), whose sum is σ = 30748032. Its totient is φ = 4536000.

The previous prime is 12730283. The next prime is 12730303. The reversal of 12730300 is 303721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12730303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78019 + ... + 78181.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 212730300 is an apocalyptic number.

12730300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12730300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374016).

12730300 is an abundant number, since it is smaller than the sum of its proper divisors (18017732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12730300 is a wasteful number, since it uses less digits than its factorization.

12730300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 12730300 is about 3567.9545961237. The cubic root of 12730300 is about 233.4960542965.

The spelling of 12730300 in words is "twelve million, seven hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 163 220 275 284 326 355 550 652 710 781 815 1100 1420 1562 1630 1775 1793 3124 3260 3550 3586 3905 4075 7100 7172 7810 8150 8965 11573 15620 16300 17930 19525 23146 35860 39050 44825 46292 57865 78100 89650 115730 127303 179300 231460 254606 289325 509212 578650 636515 1157300 1273030 2546060 3182575 6365150 12730300